Question

5. Leena has 117 rupees in the form of 5 rupee coins and 2 rupee coins. The number of
2 rupee coins is 4 times that of 5 rupee coins. Find the number of coins of each
denomination.​

Answer 1

Given :

• Leena has 117 rupees in the form of 5 rupee coins and 2 rupee coins.

• The number of 2 rupee coins is 4 times that of 5 rupee coins.

To find :

• The number of coins of each denomination =?

Step-by-step explanation :

Let, the number of 2 rupees coins = 2x.

Then, the number of 5 rupees coins = 5x.

It is Given that :

The number of 2 rupee coins is 4 times.

•°• 2 rupees coins = 4(2x)

According to the question :

➮ 5x + 4(2x) = 117

➮ 5x + 8x = 117

➮ 13x = 117

➮ x = 117/13

➮ x = 9.

Therefore, We got the value of, x = 9.

Hence,

The number of 2 rupees coins, 4(2x) = 8 × 9 = 72 coins

The number of 5 rupees coins, 5x = 5 × 9 = 45 coins

Answer 2

$\rm\large\bold{\pink{\underline{\blue{Question:}}}}$

Leena has 117 rupees in the form of 5 rupee coins

and 2 rupee coins . The number of 2 rupee coins

is 4 times that of 5 rupee coins . Find the number of coins of each denomination.

$\rm\large\bold{\blue{\underline{\orange{Answer:}}}}$

The number of 2 rupees coins : $\rm\large\red{72}$

The number of 5 rupees coins : $\rm\large\red{45}$

$\rm\large\bold\blue{Given:}$

►Leena has 117 rupees in the form of 5 rupee coins and 2 rupee coins.

►The number of 2 rupee coins is 4 times that of 5 rupee coins.

$\rm\large\bold\pink{To \ Find :}$

The number of coins of each denomination

$\rm\large\bold{\orange{\underline{\green{Solution:}}}}$

We are given,

Leena has 117 rupees in the form of 2 rupee coins and 5 rupee coins.

➪Let, the number of 2 rupees coins = 2m.

➪the number of 5 rupees coins = 5m.

By given condition,

We get ,

➪The number of 2 rupee coins is 4 times.

⛬ 2 rupees coins = 4(2m)

⛬ 5m + 4(2m) = 117

⛬ 5m + 8m = 117

⛬ 13m = 117

⛬ m = 117/13

⛬ m = 9.

$\rm\large{\orange{\boxed{\green{m=9}}}}$

Hence,

The number of 2 rupees coins, 4(2) = 8 × 9 = 72 coins

The number of 5 rupees coins, 5×m = 5 × 9 = 45 coins

$\rm\therefore\purple{Number \ of \ 2 rupees \ coins : \ 72}$

$\rm\therefore\purple{Number \ of \ 5 rupees \ coins : \ 45}$